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Finding the Fourth Proportional to 285,951.72, 428,628.28 and 96,346.60

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Solution

The fourth proportional to 285,951.72, 428,628.28 and 96,346.60 is: 144,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,951.72 : 428,628.28 = 96,346.60 : x
  2. Step 2: Convert to fraction form
    285,951.72/428,628.28 = 96,346.60/x
  3. Step 3: Cross multiply
    285,951.72x = 428,628.28 × 96,346.60
  4. Step 4: Simplify right side
    285,951.72x = 41,296,877,441.85
  5. Step 5: Solve for x
    x = 41,296,877,441.85/285,951.72
  6. Step 6: Final answer
    x = 144,419.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.